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Last updated 1:55 AM on 2/27/25
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12 Terms

1
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d/dx [c]

0 (where c is a constant)

2
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d/dx [x]

1

3
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d/dx [x^n]

n * x^(n-1) (where n is a real number)

4
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d/dx [e^x]

e^x

5
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d/dx [u v]

u (dv/dx) + v * (du/dx) (where u and v are functions of x)

6
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d/dx [u / v]

(v (du/dx) - u (dv/dx)) / (v^2) (where u and v are functions of x)

7
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d/dx [sin(x)]

cos(x)

8
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d/dx [cos(x)]

-sin(x)

9
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d/dx [sec(x)]

sec(x) * tan(x)

10
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d/dx [csc(x)]

-csc(x) * cot(x)

11
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d/dx [tan(x)]

sec^2(x)

12
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d/dx [cot(x)]

-csc^2(x)